Answer:
True
Step-by-step explanation:
The multiple of 3 is the product of 3 with at least a number. Following the law of indices which states that
aⁿ * bⁿ = (ab)ⁿ
Then the cube of 3 and any number which results in a multiple of 3 gives a result that has 3 cube which is 27 as a factor.
Hence the answer is true
Given the GCF or LCM, what else do you know about each pair of numbers?
a) Two numbers have a GCF of 2.
b) Two numbers have an LCM of 2.
c) Two numbers have a GCF of 3.
d) Two numbers have an LCM of 10.
Answer:
LCM is half of given product.GCF is half of given product. LCM is one-third of given product.GCF is one-tenth of given product.Step-by-step explanation:
We know that'
GCF × LCM = Product of given number
1. Two numbers have a GCF of 2
= 2 × LCM = Product of given number
LCM = Product of given number / 2
LCM is half of given product.
2. Two numbers have an LCM of 2
= GCF × 2 = Product of given number
GCF = Product of given number / 2
GCF is half of given product.
3. Two numbers have a GCF of 3
= 3 × LCM = Product of given number
LCM = Product of given number / 3
LCM is one-third of given product.
4. Two numbers have an LCM of 10
= GCF × 10 = Product of given number
GCF = Product of given number / 10
GCF is one-tenth of given product.
Progress
Question ID: 470099
One student can paint a wall in 12 minutes. Another student can paint the same wall in 24 minutes. Working together, how long will it
take for them to paint the wall?
Answer:
8 minStep-by-step explanation:
Try this:
1 wall 1 288
------------------------ = --------------- = --------------- min = 8 min
1 wall 1 wall 24 + 12 36
(---------) + (---------) ------------
12 min 24 min 288
s defined to be the dollar value of loans defaulted divided by the total dollar value of all loans made. Banking officials claim that the mean bad debt ratio for all Midwestern banks is 3.5%, but that Ohio’s is different. Suppose that a random sample of seven Ohio banks is selected and that the bad debt ratios for these banks are: 7%, 4%, 6%, 3%, 5%, 4%, and 2%. Assuming that bad debt ratios are approximately normal, test at the 0.05 level of significance whether the mean bad debt ratio for Ohio banks is different than the Midwestern average.H0: Mu = 3.5Ha: Mu neq 3.5Hint: data <- c(7, 4, 6, 3, 5, 4, 2) # you can find xbar=mean(data) and s=sd(data) of the sample in R.a) What type of hypothesis test do you need to use? (3 points)b) Determine the test statistic? (3 points)c) Determine the critical value? Stat your conclusion. (5 points)d) Determine the p-value? State your conclusion. (4 points)
Answer:
The null hypothesis failed to be rejected.
At a significance level of 0.05, there is not enough evidence to support the claim that the mean bad debt ratio for Ohio banks is different than the Midwestern average (3.5%).
Test statistic t = 1.431
Critical values tc = ±2.447
P-value = 0.203
Step-by-step explanation:
This is a hypothesis t-test for the population mean.
The claim is that the mean bad debt ratio for Ohio banks is different than the Midwestern average (3.5%).
Then, the null and alternative hypothesis are:
H_0: \mu=3.5\\\\H_a:\mu\neq 3.5
The significance level is 0.05.
The sample has a size n=7.
We calculate the sample mean and standard deviation as:
[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{7}(7+4+6+3+5+4+2)\\\\\\M=\dfrac{31}{7}\\\\\\M=4.43\\\\\\[/tex]
[tex]s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{6}((7-4.43)^2+(4-4.43)^2+(6-4.43)^2+. . . +(2-4.43)^2)}\\\\\\s=\sqrt{\dfrac{17.71}{6}}\\\\\\s=\sqrt{2.95}=1.72\\\\\\[/tex]
The sample mean is M=4.43.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1.72.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1.72}{\sqrt{7}}=0.65[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{4.43-3.5}{0.65}=\dfrac{0.93}{0.65}=1.431[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=7-1=6[/tex]
This test is a two-tailed test, with 6 degrees of freedom and t=1.431, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=2\cdot P(t>1.431)=0.203[/tex]
As the P-value (0.203) is bigger than the significance level (0.05), the effect is not significant.
If we use the critical value approach, for this level of confidence, the critical values are tc = ±2.447. The test statistic is within the bounds of the critical values and falls within the acceptance region.
The null hypothesis failed to be rejected.
At a significance level of 0.05, there is not enough evidence to support the claim that the mean bad debt ratio for Ohio banks is different than the Midwestern average (3.5%).
How much interest is earned if $2500 is invested for 25 years at 8% simple
interest?
*
0500
50000
250
O 5000
Answer: $5,000
Step-by-step explanation: First begin with the interest formula.
Interest = Principal × Rate × Time
In this problem, we're solving for the interest.
The principal is the amount invested or $2,500.
The rate is 8% which we can write as .08.
The time is 25 years.
So we have I = (2,500)(.08)(25).
Now we multiply.
(2,500)(.08) is equal to 200.
Now, multiply 200(25) to get 5,000.
This means that the interest earned is $5,000.
Please answer this correctly
it would be possible because if it's 6 it's even if it 4 it's even if it's 2 it's even so you okay so it is certain and possible babes
"There is a group of people. The average height of these people is 67 inches. Is it more likely to pick an individual who is more than 68 inches tall or a sample of four people who average more than 68 inches tall
Answer:
Step-by-step explanation:
The spread of the height of each person in the group depends on the standard deviation. A low standard deviation means that the heights are closer to the mean than that of a high standard deviation. If an individual is picked, the probability of picking one who is more than 68 inches tall is small as this depends on the number of individuals in this category. The probability of picking a sample of four people who average more than 68 inches tall would be higher since average would be taken. Therefore, it is more likely to pick a sample of four people who average more than 68 inches tall
a classical music concert is to constist of 3 cello pieces, 3 choral works, and 3 pieces for piano. In how many ways can the program be arranged if a piano piece must come first
Answer:
120,960 ways
Step-by-step explanation:
Assuming that each piece is unique, then the order of each piece matters.
There are 9 pieces in total, there are 3 options for the first piece (3 piano pieces), and the remaining 8 pieces can be permuted. The number of possible arrangements is:
[tex]n=3*\frac{8!}{(8-8)!}\\ n=3*8*7*6*5*4*3*2*1\\n=120,960\ ways[/tex]
The program can be arranged in 120,960 ways.
I NEED ANSWER SUPER BAD PLEASE!!!!!!!!!!!What is the greatest integer less than 100 for which the greatest common divisor of that integer and 12 is 4?
Answer:
92
Step-by-step explanation:
We will list out the numbers which are factors of 12. They include:
1, 2, 3, 4, 6, 12.
We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.
To do this, we will write out the multiples of 4. They include:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.
We will have to choose the highest number which only 4 can divide and 6 and 12 cannot divide.
Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.
We will quickly see that 4 can divide 92 but 6 and 12 cannot.
This gives us 92 as the answer.
Answer:
92
Step-by-step explanation:
When testing for current in a cable with sixsix color-coded wires, the author used a meter to test threethree wires at a time. How many different tests are required for every possible pairing of threethree wires?
Answer:
20 tests
Step-by-step explanation:
There are six different wires, and for each test the author picks three, this means that each test is a combination of three out of six wires (₆C₃) . The number of total combinations possible is given by:
[tex]_6C_3=\frac{6!}{(6-3)!3!}\\_6C_3=\frac{6*5*4}{3*2*1}\\_6C_3=20[/tex]
20 tests are required to verify every possible pairing of three wires.
The quick ratio, Q, is calculated using the formula Q= CA-I-P/ CL, where CA is the value of the company’s current assets, I is inventory, P is prepaid expenses, and CL is current liabilities. Rearrange the formula for current assets
Answer:
CA = Q·CL +I +P
Step-by-step explanation:
Multiply by the denominator, then add the opposite of all terms that are not CA.
[tex]Q=\dfrac{CA-I-P}{CL}\\\\Q\cdot CL=CA-I-P\\\\Q\cdot CL+I+P=CA\\\\\boxed{CA=Q\cdot CL+I+P}[/tex]
Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the ratio of the volume of sphere A to sphere B? 2:6 4:36 1:3 1:27
Answer:
1:27 (D)
Step-by-step explanation:
Given:
Sphere A has a diameter of 2
Sphere A is dilated to create sphere B
Scale factor = 3
Volume of a sphere = 4/3 πr³
Radius = r = diameter/2 = 2/2
r = 1
Volume of sphere A = 4/3 ×π(1)³
Volume of sphere A = 4/3 × π
Volume of sphere B = 4/3 πR³
Since the diameter was dilated, the diameter of B = diameter of A × scale factor
diameter of B = 2×3 = 6
Radius of B = R = diameter/2 = 3
Volume of sphere B = 4/3 × π(3)³
Volume of sphere B = (4/3)(27)π
Ratio of the volume of sphere A to volume of sphere B
= [4/3 ×π]: [(4/3)(27)π]
= (4π/3)/[(4π/3)×27] = 1/27
= 1:27
Answer: 1:27
Step-by-step explanation:
The original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27, so the ratio is 1:27
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps. This system of equations models the given information for both stamp types. x – y = 34 x + y = 212
Step-by-step explanation:
x - y = 34
x + y = 212
2x = 246
x = 123
123 + y = 212
y = 89
(123, 89)
Couple more! Running out of time lol!
Answer:
A translation; (x,y) --> (x-4,y-5)
Step-by-step explanation:
This is because the figures are congruent and in the same orientation but just in different locations on the coordinate plane.
A(0,3) --> A'(-4,-2)
So, the rule is (x,y) --> (x-4,y-5)
Pls help me pick the right answer! Please
The line segment AB with endpoints A (-3, 6) and B (9, 12) is dilated with a scale
factor 2/3 about the origin. Find the endpoints of the dilated line segment.
O A) (2, 4), (6,8)
B) (4, -2), (6,8)
O C) (-2, 4), (6,8)
OD) (-2, 4), (8,6)
Answer:
C) (-2, 4), (6,8) is the correct answer.
Step-by-step explanation:
Given that line segment AB:
A (-3, 6) and B (9, 12) is dilated with a scale factor 2/3 about the origin.
First of all, let us calculate the distance AB using the distance formula:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here,
[tex]x_2=9\\x_1=-3\\y_2=12\\y_1=6[/tex]
Putting all the values and finding AB:
[tex]AB = \sqrt{(9-(-3))^2+(12-6)^2}\\\Rightarrow AB = \sqrt{(12)^2+(6)^2}\\\Rightarrow AB = \sqrt{144+36}\\\Rightarrow AB = \sqrt{180}\\\Rightarrow AB = 6\sqrt{5}\ units[/tex]
It is given that AB is dilated with a scale factor of [tex]\frac{2}{3}[/tex].
[tex]x_2'=\dfrac{2}{3}\times x_2=\dfrac{2}{3}\times9=6\\x_1'=\dfrac{2}{3}\times x_1=\dfrac{2}{3}\times-3=-2\\y_2'=\dfrac{2}{3}\times y_2=\dfrac{2}{3}\times 12=8\\y_1'=\dfrac{2}{3}\times y_1=\dfrac{2}{3}\times 6=4[/tex]
So, the new coordinates are A'(-2,4) and B'(6,8).
Verifying this by calculating the distance A'B':
[tex]A'B' = \sqrt{(6-(-2))^2+(8-4)^2}\\\Rightarrow A'B' = \sqrt{(8)^2+(4)^2}\\\Rightarrow A'B' = \sqrt{64+16}\\\Rightarrow A'B' = \sqrt{80}\\\Rightarrow A'B' = 4\sqrt{5}\ units = \dfrac{2}{3}\times AB[/tex]
So, option C) (-2, 4), (6,8) is the correct answer.
Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°. yeah
Answer:
Step-by-step explanation:
this triangle is regular one
we can't apply the pytahgorian theorem 5²+6²≠7² the angles have different sizes 75≠60≠45the sides have different lengths 5≠6≠7Answer:
obtuse scalene triangle
I NEED HELP PLEASE, THANKS! :)
Answer: C
Step-by-step explanation:
We can automatically eliminate D because since both matrices are 2x2, the product exists.
[tex]\left[\begin{array}{ccc}1&5\\-3&4\end{array}\right] \left[\begin{array}{ccc}2&6\\6&-1\end{array}\right] =\left[\begin{array}{ccc}1*2+5*6&1*6+5*(-1)\\(-3)*2+4*6&(-3)*6+4*(-1)\end{array}\right]=\left[\begin{array}{ccc}32&1\\18&-22\end{array}\right][/tex]
An equilateral triangular plate with sides 6 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s^2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m^3.) rhog^3(3)^1/2 _______ dx = _______ N
Answer:
26,400 N
Step-by-step explanation:
PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION
Which of the following theorems verifies that WVU= RST
Answer:
C. HL
Step-by-step explanation:
The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.
sin155° = _____ sin25° sin(-25)° -sin25°
Answer:
sin 25
Step-by-step explanation:
sin(A − B) = sinA cosB − cosA sinB
sin 155
sin( 180 -25)
A = 180 B = 25
sin180 cos25 − cos180 sin25
Sin 180 = 0
cos 180 = -1
0 - (-1) sin 25
sin 25
Which best describes thermal energy?
Answer:
It's the third Answer: It is the portion of internal energy that can be transferred from one substance to another.
Hope this helps
Answer:
c
Step-by-step explanation:
A loan of $25,475 is taken out at 4.6% interest, compounded annually. If no payments are
made, after about how many years will the amount due reach $37,500? Round to the
nearest year.
Please helpppp
Answer:
It will take 9 years
Step-by-step explanation:
use formula A=P(1+ r/n)^nt
37,500= 25,475(1+.046/1)^1*x
37,500/25,475=1.046^x
1.47203= 1.046^x
try out different numbers for x and use whole number since it asks for the nearest year
1.046^8 = 1.43302 and 1.046^9 = 1.4989
so we know its inbetween
8 and 9 to figure out one is the closest whole number try raising it to the power of 8.5 and if it passes 1.47203 then its 9, if it doesnt then its 8
1.046^8.5 = 1.46561
1.46561< 1.47203
since 1.046561 is lower than 1.47203 its safe to assume that the year is between 8.5-8.99 thus we can round up to 9
"a. How many study subjects were cases? b. How many study subjects were controls? c. What was the ratio of controls to cases?"
Answer:
The description is provided following.
Step-by-step explanation:
The given question is incomplete. The complete question will be:
Brain tumors No Brain tumors
Cell Phones 63 185
No Cell Phones 96 292
The further explanation is given below.
a...
Subjects with these symptoms/diseases are recognized as "cases." Consequently, the majority of the instances would be as follows:
⇒ [tex]63+96[/tex]
⇒ [tex]159[/tex]
b...
Subjects who might not have the disorder or infection are classified as "controls." Therefore, the amount of controls is as follows:
⇒ [tex]185+292[/tex]
⇒ [tex]477[/tex]
c...
The proportion of control and monitoring of instances:
⇒ [tex]\frac{478}{159}[/tex]
⇒ [tex]3.006[/tex]
Complete the steps to solve this linear equation: 2x + 9(x – 1) = 8(2x + 2) – 5 1.Apply the distributive property: 2x + 9x– 9 = 16x + 16 – 5 2.Combine like terms on each side: 11x – 9 = 16x + 11 3.Use the subtraction property of equality to isolate the variable term: –9 = 5x + 11 Use the subtraction property of equality to isolate the constant: –20 = 5x 4. Use the division property of equality to solve: = x
Answer:
it should be -4=x.
Answer: -4
Step-by-step explanation:
circumference of 6cm ? help plz <3 heyyy b a e (bet you won't reply :)
Answer:
If r = 6 cm, the the circumference is c = 2π(6) = 12π cm
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
Please answer this correctly
Answer:
0
Step-by-step explanation:
The probability of picking a even number is 1/3
If u don’t replace it then the probability of picking an even number is 0/3
Multiply and u get 0/9 or 0
Hope this helps
Answer:
0
Step-by-step explanation:
The number 2 is even.
The probability of picking an even number is 1/3.
You don't put the first card back.
1 and 3 are odd.
1/3 × 0 = 0
The weight of male babies less than months old in the United States is normally distributed with mean pounds and standard deviation pounds. Answer the following.
Required:
a. What proportion of babies weigh more than 12 pounds?
b. What proportion of babies weigh less than 15 pounds?
c. What proportion of babies weigh between 9 and 13 pounds?
d. Is it unusual for a baby to weigh more than 18.1 pounds?
Answer:
a. P ( X > 12 ) = 0.5254
b. P ( X < 15 ) = 0.7172
c. P ( 9 < X < 13 ) = 0.3179
d. Not unusual
Step-by-step explanation:
Solution:-
- We will define our random variable X as follows:
X: The weights of the male babies less than 2 month old in USA ( lb )
- The distribution given for the random variable ( X ) is defined to follow normal distribution.
- The normal distribution is identified by two parameters mean ( u ) and standard deviation ( σ ). The distribution is mathematically stated or expressed as:
X ~ Norm ( u , σ^2 )
- The parameters for the normal distribution followed by the random variable ( X ) are given. Hence,
X ~Norm ( 12.3 , 4.7^2 )
- We will use standard normal tables to determine the following probabilities:
a) What proportion of babies weigh more than 12 pounds?
- To use the standard normal tables we need to standardized our limiting value of the required probability by finding the corresponding Z-score value.
- The formula used to compute the Z-score value is given below:
[tex]Z-score = \frac{x - u}{sigma}[/tex]
- We are requested to compute the probability p ( X > 12 ). the limiting value is 12 pounds. We will use the conversion formula and compute the Z-score:
[tex]Z-score = \frac{12 - 12.3}{4.7} \\\\Z-score = -0.06382[/tex]
- The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:
P ( X > 12 ) = P ( Z > -0.06382 ) = ...
P ( Z > -0.06382 ) = 1 - P ( Z < -0.06382 )
Use standard normal look-up table:
P ( X > 12 ) = 1 - 0.4746
P ( X > 12 ) = 0.5254 ... Answer
Answer: The proportion of babies that weigh more than 12 pounds is the probability of finding babies weighing more than 12 pounds among the total normally distributed population. The proportion is 0.5254
b) What proportion of babies weigh less than 15 pounds?
- We are requested to compute the probability p ( X < 15 ). the limiting value is 12 pounds. We will use the conversion formula and compute the Z-score:
[tex]Z-score = \frac{15-12.3}{4.7} \\\\Z-score = 0.57446[/tex]
- The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:
P ( X < 15 ) = P ( Z < 0.57446 )
P ( X < 15 ) = 0.7172
Answer: The proportion of babies that weigh less than 15 pounds is the probability of finding babies weighing less than 15 pounds among the total normally distributed population. The proportion is 0.7172
c) What proportion of babies weigh between 9 and 13 pounds?
- We are requested to compute the probability p ( 9 < X < 13 ). the limiting value are 9 and 13 pounds. We will use the conversion formula and compute the Z-score:
[tex]Z_1 = \frac{9-12.3}{4.7} = -0.70212\\\\Z_2 = \frac{13-12.3}{4.7} = 0.14893\\[/tex]
- The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:
P ( 9 < X < 13 ) = P ( -0.70212 < X < 0.14893 )
P ( -0.70212 < X < 0.14893 ) = P ( X < 0.14893 ) - P ( X < -0.70212 )
Use standard normal look-up table:
P ( 9 < X < 13 ) = 0.5592 - 0.2413
P ( 9 < X < 13 ) = 0.3179 ... Answer
Answer: The proportion of babies that weigh less than 13 pounds but greater than 9 pounds is the probability of finding babies weighing less than 13 pounds and more than 9 pounds among the total normally distributed population. The proportion is 0.3179
d)
Is it unusual for a baby to weigh more than 18.1 pounds?
- We are requested to compute the probability p ( X > 18.1 ). the limiting value is 18.1 pounds. We will use the conversion formula and compute the Z-score:
[tex]Z-score = \frac{18.1-12.3}{4.7} \\\\Z-score = 1.23404[/tex]
The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:
P ( X > 18.1 ) = P ( Z > 1.23404 )
P ( X > 18.1 ) = 0.1086
Answer: The proportion of babies that weight more than 18.1 pounds are 0.1086 of the total babies population. We can say that the proportion of babies that weigh more than 18.1 pounds are significant because the proportion lies is significant. Not enough statistical evidence to be classified as "unusual".
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) μ = 24; σ = 4.2 P(x ≥ 30) = ?
Answer:
Step-by-step explanation:
x is a random variable. Since we are assuming that x has a normal distribution, then we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 24
σ = 4.2
The indicated probability to be determined is P(x ≥ 30)
P(x ≥ 30) = 1 - P(x < 30)
For P(x < 30),
z = (30 - 24)/4.2 = 1.43
Looking at the normal distribution table, the probability corresponding to the z score is 0.9236
Therefore,
P(x ≥ 30) = 1 - 0.9236 = 0.0764
6 out of 9 pairs of your jeans are blue. What percentage of you
jeans are NOT blue?
Answer:
33.333333%
Step-by-step explanation:
If 6/9 (66.66666666%) of the jeans are blue it means that 3/9 of the jeans are not blue. 3/9 as a percentage is 33.333333%
Answer:
33.3%
Step-by-step explanation:
6 ÷ 9 = 66.66666667%
100% - 66.66666667% = 33.3% (Or you can put 33.33333333)
Hope this helped! :)
Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
[tex]x - h = 4\cdot p \cdot (y-k)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
[tex]p[/tex] - Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
[tex]p = x_{D} - x_{V}[/tex]
[tex]p = \frac{1}{48}-0[/tex]
[tex]p = \frac{1}{48}[/tex]
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].